164125032 has 32 divisors (see below), whose sum is σ = 410635680. Its totient is φ = 54665280.

The previous prime is 164125019. The next prime is 164125037. The reversal of 164125032 is 230521461.

It is a super-2 number, since 2×164125032² = 53874052258002048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 164124993 and 164125011.

It is not an unprimeable number, because it can be changed into a prime (164125037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47607 + ... + 50937.

It is an arithmetic number, because the mean of its divisors is an integer number (12832365).

Almost surely, 2^164125032 is an apocalyptic number.

164125032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164125032 is an abundant number, since it is smaller than the sum of its proper divisors (246510648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164125032 is a wasteful number, since it uses less digits than its factorization.

164125032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 164125032 is about 12811.1292242331. The cubic root of 164125032 is about 547.5094354205.

Adding to 164125032 its reverse (230521461), we get a palindrome (394646493).

The spelling of 164125032 in words is "one hundred sixty-four million, one hundred twenty-five thousand, thirty-two".